Home
Class 12
MATHS
The equation of the base BC of an equil...

The equation of the base BC of an equilateral triangle ABC is x+y= 2 and A is (2, -1). The length of the side of the triangle is

A

`sqrt2`

B

`((3)/(2))^(1 // 2)`

C

`(1)/(2)`

D

`((2)/(3))^(1 // 2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|53 Videos

  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

Similar Questions

Explore conceptually related problems

If the equation of base of an equilateral triangle is 2x - y = 1 and the vertex is (-1, 2), then the length of the side of the triangle is

If the equation of the base opposite to the vertex (2,3) of a equilateral triangle is x+y=2, then the length of a side is

P is a point on the line y+2x=1, and Q and R two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is (a) 2/(sqrt(5)) (b) 3/(sqrt(5)) (c) 4/(sqrt(5)) (d) none of these

One vertex of an equilateral triangle is (2,2) and its centroid is (-2/sqrt3,2/sqrt3) then length of its side is

The side BC of an equilateral triangle DABC is parallel to X-axis. Find the slopes of the lines along sides BC, CA and AB.

Three charges 6muC are fixed at the three vertices of an equilateral triangle of side 9cm. Find the potential at the mid point of the base of the triangle.

Three particles each of mass m are placed at the three corners of an equilateral triangle of side a. The work done on the system to increase the sides of the triangle to 2a is:

The equations of the sides of a triangle are x+y-5=0, x-y+1=0, and y-1=0. Then the coordinates of the circumcenter are

NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
  1. The incentre of the triangle ABC where A(-36, 7) B (20,7) and C (0,-8...

    Text Solution

    |

  2. The foot of the perpendicular from the point (3,4) on the line 3x – 4...

    Text Solution

    |

  3. The equation of the base BC of an equilateral triangle ABC is x+y= 2 ...

    Text Solution

    |

  4. The product of the perpendiculars from (-1,2) to the pair of lines ...

    Text Solution

    |

  5. The distance between the pair of parallel lines x^(2) + 4xy + 4y^(2) ...

    Text Solution

    |

  6. The four lines 6x^(2) – 5xy - 6y^(2) + x+5y–1=0 and 6x^(2) – 5xy -6y^...

    Text Solution

    |

  7. The foot of perpendicular from (-2, 3) to the line 2x - y - 3 = 0 is

    Text Solution

    |

  8. If the lines x - y - 1 = 0, 4x + 3y = k and 2x – 3y +1 = 0 are concur...

    Text Solution

    |

  9. The centroid of a triangle formed by the points (0,0), (cos theta, si...

    Text Solution

    |

  10. The orthocentre of the triangle formed by (8,0) and (4, 6) with the o...

    Text Solution

    |

  11. If xy - 4x + 3y - lambda=0 represents the asymptotes of xy - 4x + 3y ...

    Text Solution

    |

  12. The inclination of the straight line passing through the point (-3, 6...

    Text Solution

    |

  13. A point moves such that the area of the triangle formed by it with th...

    Text Solution

    |

  14. The line (x)/(a)-(y)/(b) =1 cuts the x-axis at P. The equation of t...

    Text Solution

    |

  15. The value of lambda for which the lines 3x + 4y=5, 2x+3y=4 and lambda...

    Text Solution

    |

  16. The orthocentre of the triangle whose vertices are (5,-2), (-1, 2) an...

    Text Solution

    |

  17. Distance between the lines 5x + 3y-7 = 0 and 15x +9y + 14 = 0 is

    Text Solution

    |

  18. If the equation 2x^(2) + 7xy+3y^(2) - 9x - 7y+k=0 represents a pair o...

    Text Solution

    |

  19. The angle between the lines 2x - y+3 = 0 and x + 2y + 3 = 0 is

    Text Solution

    |

  20. Distance between the pair of lines represented by the equation x^(2)–...

    Text Solution

    |